Analysis of Semipermeable Crack Growth in Piezoelectric Materials Using Extended Finite Element Method

2017 ◽  
Vol 09 (07) ◽  
pp. 1750106 ◽  
Author(s):  
G. Pamnani ◽  
S. Bhattacharya ◽  
S. Sanyal
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Crack Growth ◽  
Extended Finite Element Method ◽  
Electromechanical Coupling ◽  
Piezoelectric Materials ◽  
Integral Approach ◽  
Intensity Factors ◽  
Extended Finite Element ◽  
Element Method

Piezoelectric materials possess special characteristics of electromechanical coupling behavior and thus have found numerous applications such as transducers, sensors, actuators. Fracture of piezoelectric materials has drawn substantial attention of the research community and is being widely investigated for predicting their failure. Most of the research on piezoelectric materials is based on impermeable crack conditions. In the present study semi-permeable crack boundary conditions has been analyzed using the extended finite element method (XFEM). Combined Mechanical and Electrical loading with quasi-static crack growth has been considered on a pre-cracked rectangular plate with crack at its edge and center. Stress intensity factors have been evaluated by interaction integral approach using the asymptotic crack tip fields. Effect of presence of minor cracks and holes have been analyzed on the intensity factors of semi-permeable major crack.

On XFEM Applications to Crack Surface under External Force

2012 ◽  
Vol 152-154 ◽  
pp. 210-215
Author(s):  
Tian Tang Yu ◽  
Lu Yang Shi
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stress Intensity ◽  
Extended Finite Element Method ◽  
Crack Surface ◽  
Water Pressure ◽  
Intensity Factors ◽  
Extended Finite Element ◽  
Modeling Growth ◽  
Element Method

The extended finite element method is applied to modeling growth of arbitrary crack with crack surface tractions. Firstly, the extended finite element method is investigated for the stress intensity factor solution of surface traction problems. Secondly, for different water pressure acting on the crack surfaces and different crack length, the variation of the stress intensity factors is investigated. Finally, the process of hydraulic fracturing is simulated with the method. Numerical simulations illustrate that the method can effectively model the fracture problems with surface tractions.

Analysis of Multi-Crack Growth in Asphalt Pavement Based on Extended Finite Element Method

2012 ◽  
Vol 588-589 ◽  
pp. 1926-1929
Author(s):  
Yu Zhou Sima ◽  
Fu Zhou Wang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Crack Growth ◽  
Extended Finite Element Method ◽  
Asphalt Pavement ◽  
Finite Element Approximation ◽  
Propagation Path ◽  
Element Approximation ◽  
Extended Finite Element ◽  
Element Method

An extended finite element method (XFEM) for multiple crack growth in asphalt pavement is described. A discontinuous function and the two-dimensional asymptotic crack-tip displacement fields are added to the finite element approximation to account for the crack using the notion of partition of unity. This enables the domain to be modeled by finite element with no explicit meshing of the crack surfaces. Computational geometry issues associated with the representation of the crack and the enrichment of the finite element approximation are discussed. Finally, the propagation path of the cracks in asphalt pavement under different load conditions is presented.

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